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Simplifying 5(6 + -3) + 6 = 5x + -9 Combine like terms: 6 + -3 = 3 5(3) + 6 = 5x + -9 Multiply 5 * 3 15 + 6 = 5x + -9 Combine like terms: 15 + 6 = 21 21 = 5x + -9 Reorder the terms: 21 = -9 + 5x Solving 21 = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 21 + -5x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + -5x = -9 + 0 21 + -5x = -9 Add '-21' to each side of the equation. 21 + -21 + -5x = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = -9 + -21 -5x = -9 + -21 Combine like terms: -9 + -21 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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